Glasnik Matematicki, Vol. 39, No.1 (2004), 101-110.
STATISTICAL (T) RATES OF CONVERGENCE
H. I. Miller and C. Orhan
Department of Mathematics, The University of Louisville,
Louisville, Kentucky, USA
University of Sarajevo, Department of Mathematics,
Sarajevo, 33000, Bosnia and Herzegovina
Department of Mathematics, Faculty of Science, Ankara
University, Tandogan 06100, Ankara, Turkey
Abstract. The basis for comparing rates of convergence of
two null sequences is that
"x = (xn) converges
(stat T) faster than
z = (zn) provided that
T-statistically convergent to zero" where
T = (tmn) is a mean.
In this paper we extend the previously
known results either on the ordinary convergence or statistical
rates of convergence of two null sequences. We also consider
lacunary statistical rates of convergence.
2000 Mathematics Subject Classification.
Key words and phrases. Natural density, statistically
convergent sequence, rate of convergence.
Full text (PDF) (free access)
Glasnik Matematicki Home Page